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54534030501213 = 3237253661126341
BaseRepresentation
bin11000110011001001100011…
…00001000010010101011101
321011002101212100110020221100
430121210301201002111131
524121441143302014323
6311552330542223313
714325645053663064
oct1431446141022535
9234071770406840
1054534030501213
111641583057841a
126149088584b39
1324576c9a72113
14d676655c91db
1564884e124943
hex31993184255d

54534030501213 has 72 divisors (see below), whose sum is σ = 82610822568456. Its totient is φ = 34653222489600.

The previous prime is 54534030501199. The next prime is 54534030501221. The reversal of 54534030501213 is 31210503043545.

54534030501213 is a `hidden beast` number, since 5 + 4 + 5 + 340 + 305 + 0 + 1 + 2 + 1 + 3 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 28619503929 + 54505410997284 = 169173^2 + 7382778^2 .

It is not a de Polignac number, because 54534030501213 - 210 = 54534030500189 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54534030501283) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 431578423 + ... + 431704763.

It is an arithmetic number, because the mean of its divisors is an integer number (1147372535673).

Almost surely, 254534030501213 is an apocalyptic number.

54534030501213 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

54534030501213 is a deficient number, since it is larger than the sum of its proper divisors (28076792067243).

54534030501213 is a wasteful number, since it uses less digits than its factorization.

54534030501213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127135 (or 127095 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 54534030501213 its reverse (31210503043545), we get a palindrome (85744533544758).

The spelling of 54534030501213 in words is "fifty-four trillion, five hundred thirty-four billion, thirty million, five hundred one thousand, two hundred thirteen".

Divisors: 1 3 9 37 53 111 159 333 477 661 1369 1961 1983 4107 5883 5949 12321 17649 24457 35033 72557 73371 105099 126341 217671 220113 315297 379023 653013 904909 1137069 1296221 2714727 3888663 4674617 6696073 8144181 11665989 14023851 20088219 42071553 47960177 60264657 83511401 143880531 172960829 247754701 250534203 431641593 518882487 743264103 751602609 1556647461 2229792309 3089921837 4426104253 9166923937 9269765511 13278312759 27500771811 27809296533 39834938277 82502315433 114327107969 163765857361 342981323907 491297572083 1028943971721 1473892716249 6059336722357 18178010167071 54534030501213